Fundamental Period for Steel Frames Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fundamental Period = 0.035*Height of Building^(3/4)
T = 0.035*hn^(3/4)
This formula uses 2 Variables
Variables Used
Fundamental Period - (Measured in Second) - Fundamental Period is the time taken for one complete oscillation (back-and-forth) by the building.
Height of Building - (Measured in Meter) - The Height of Building is the height above the basic to the highest level of the building.
STEP 1: Convert Input(s) to Base Unit
Height of Building: 32 Foot --> 9.75360000003901 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = 0.035*hn^(3/4) --> 0.035*9.75360000003901^(3/4)
Evaluating ... ...
T = 0.193170920842961
STEP 3: Convert Result to Output's Unit
0.193170920842961 Second --> No Conversion Required
FINAL ANSWER
0.193170920842961 0.193171 Second <-- Fundamental Period
(Calculation completed in 00.006 seconds)

Credits

Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has created this Calculator and 200+ more calculators!
Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has verified this Calculator and 400+ more calculators!

21 Seismic Loads Calculators

Fundamental Period given Seismic Response Coefficient
Go Fundamental Period = (1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Seismic Response Coefficient))^(3/2)
Seismic Coefficient for Short Period Structures
Go Seismic Coefficient for Short Period Structures = (Seismic Response Coefficient*(Response Modification Factor*Fundamental Period^(2/3)))/1.2
Response Modification Factor
Go Response Modification Factor = 1.2*Seismic Coefficient for Short Period Structures/(Seismic Response Coefficient*Fundamental Period^(2/3))
Seismic Response Coefficient given Fundamental Period
Go Seismic Response Coefficient = 1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Fundamental Period^(2/3))
Seismic Coefficient for Velocity Dependent Structures
Go Seismic Coefficient for Velocity Dependent = Seismic Response Coefficient*Response Modification Factor /2.5
Seismic Response Coefficient given Seismic Coefficient for Velocity Dependent Structures
Go Seismic Response Coefficient = 2.5*Seismic Coefficient for Velocity Dependent/Response Modification Factor
Response Modification Factor by Velocity Dependent Structures
Go Response Modification Factor = 2.5*Seismic Coefficient for Velocity Dependent/Seismic Response Coefficient
Lateral Force
Go Lateral Force = Lateral Seismic Force/Vertical Distribution Factor
Vertical Distribution Factor given Lateral Force
Go Vertical Distribution Factor = Lateral Seismic Force/Lateral Force
Lateral Seismic Force
Go Lateral Seismic Force = Vertical Distribution Factor*Lateral Force
Total Lateral Force Acting in Direction of each of Principal Axis
Go Lateral Force = Seismic Response Coefficient*Total Dead Load
Seismic Response Coefficient given Base Shear
Go Seismic Response Coefficient = Lateral Force/Total Dead Load
Total Dead Load given Base Shear
Go Total Dead Load = Lateral Force/Seismic Response Coefficient
Building Height for Steel Frame given Fundamental Period
Go Height of Building = (Fundamental Period/0.035)^(4/3)
Building Height for Steel Eccentrically Braced Frames given Fundamental Period
Go Height of Building = (Fundamental Period/0.03)^(4/3)
Building Height for Reinforced Concrete Frames given Fundamental Period
Go Height of Building = (Fundamental Period/0.03)^(4/3)
Building Height for other Buildings given Fundamental Period
Go Height of Building = (Fundamental Period/0.02)^(4/3)
Fundamental Period for Steel Eccentrically Braced Frames
Go Fundamental Period = 0.03*Height of Building^(3/4)
Fundamental Period for other Buildings
Go Fundamental Period = 0.02*Height of Building^(3/4)
Fundamental Period for Steel Frames
Go Fundamental Period = 0.035*Height of Building^(3/4)
Fundamental Period for Reinforced Concrete Frames
Go Fundamental Period = 0.03*Height of Building^(3/4)

Fundamental Period for Steel Frames Formula

Fundamental Period = 0.035*Height of Building^(3/4)
T = 0.035*hn^(3/4)

What is the Fundamental Period of a Structure?

Depending on mass and stiffness, the fundamental period is a global characteristic describing the behaviour of building under seismic loads. Usually, they are height-depend relationships setting up considering the total height of buildings or their number of storeys.

How to Calculate Fundamental Period for Steel Frames?

Fundamental Period for Steel Frames calculator uses Fundamental Period = 0.035*Height of Building^(3/4) to calculate the Fundamental Period, The Fundamental Period for Steel Frames is defined as the fundamental period for steel frames when we have a prior info of the height of the building. Fundamental Period is denoted by T symbol.

How to calculate Fundamental Period for Steel Frames using this online calculator? To use this online calculator for Fundamental Period for Steel Frames, enter Height of Building (hn) and hit the calculate button. Here is how the Fundamental Period for Steel Frames calculation can be explained with given input values -> 0.193171 = 0.035*9.75360000003901^(3/4).

FAQ

What is Fundamental Period for Steel Frames?
The Fundamental Period for Steel Frames is defined as the fundamental period for steel frames when we have a prior info of the height of the building and is represented as T = 0.035*hn^(3/4) or Fundamental Period = 0.035*Height of Building^(3/4). The Height of Building is the height above the basic to the highest level of the building.
How to calculate Fundamental Period for Steel Frames?
The Fundamental Period for Steel Frames is defined as the fundamental period for steel frames when we have a prior info of the height of the building is calculated using Fundamental Period = 0.035*Height of Building^(3/4). To calculate Fundamental Period for Steel Frames, you need Height of Building (hn). With our tool, you need to enter the respective value for Height of Building and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Fundamental Period?
In this formula, Fundamental Period uses Height of Building. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Fundamental Period = (1.2*Seismic Coefficient for Short Period Structures/(Response Modification Factor*Seismic Response Coefficient))^(3/2)
  • Fundamental Period = 0.03*Height of Building^(3/4)
  • Fundamental Period = 0.03*Height of Building^(3/4)
  • Fundamental Period = 0.02*Height of Building^(3/4)
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